A student takes a multiple-choice quiz with 5 questions, each with four possible answers and only one of them is correct. A passing grade is 60% or better (i.e., answering at least 3 of 5 questions correctly). Suppose that the student was unable to find time to study for the exam and just guesses at each question. Find the probabilities for the two events below. i. the student gets exactly 3 questions correct. ii. the student passes the exam

A student takes a multiple-choice quiz with 5 questions, each with four possible answers and only one of them is correct. A passing grade is 60% or better (i.e., answering at least 3 of 5 questions correctly). Suppose that the student was unable to find time to study for the exam and just guesses at each question. Find the probabilities for the two events below. i. the student gets exactly 3 questions correct. ii. the student passes the exam

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

A student takes a multiple-choice quiz with 5 questions, each with four possible answers and only one
of them is correct. A passing grade is 60% or better (i.e., answering at least 3 of 5 questions correctly).
Suppose that the student was unable to find time to study for the exam and just guesses at each
question.

Find the probabilities for the two events below.
i. the student gets exactly 3 questions correct.
ii. the student passes the exam

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